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Finding the Third Proportional to 303,833 and 664,933

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Solution

The third proportional to 303,833 and 664,933 is: 1,455,193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,833 : 664,933 = 664,933 : x
  2. Step 2: Convert to fraction form
    303,833/664,933 = 664,933/x
  3. Step 3: Cross multiply
    303,833x = 664,933 × 664,933
  4. Step 4: Simplify right side
    303,833x = 442,135,894,489
  5. Step 5: Solve for x
    x = 442,135,894,489/303,833
  6. Step 6: Final answer
    x = 1,455,193.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.